4(x+1)=2(x+7)

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Solution for 4(x+1)=2(x+7) equation: 


Simplifying
4(x + 1) = 2(x + 7)

Reorder the terms:
4(1 + x) = 2(x + 7)
(1 * 4 + x * 4) = 2(x + 7)
(4 + 4x) = 2(x + 7)

Reorder the terms:
4 + 4x = 2(7 + x)
4 + 4x = (7 * 2 + x * 2)
4 + 4x = (14 + 2x)

Solving
4 + 4x = 14 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
4 + 4x + -2x = 14 + 2x + -2x

Combine like terms: 4x + -2x = 2x
4 + 2x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 2x = 14 + 0
4 + 2x = 14

Add '-4' to each side of the equation.
4 + -4 + 2x = 14 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 14 + -4
2x = 14 + -4

Combine like terms: 14 + -4 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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